On the evolution of harmonic maps in higher dimensions (Q1094711)
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scientific article; zbMATH DE number 4026378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the evolution of harmonic maps in higher dimensions |
scientific article; zbMATH DE number 4026378 |
Statements
On the evolution of harmonic maps in higher dimensions (English)
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1988
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We establish partial regularity results and the existence of global regular solutions to the evolution problem for harmonic maps with small data. The key ingredient is a decay estimate analogous to the well-known monotonicity formula for energy minimizing harmonic maps.
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partial regularity
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evolution problem for harmonic maps
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monotonicity formula
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\(\epsilon\)-regularity theorem
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